There are at least 2 bands with this name.

#1 The first Claustrofobia is a Spanish Post-Punk/New Wave band who released a self titled LP in 1984.

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#2 is a Brazilian band. That Claustrofobia started its activities in 1996, at Leme – city in the countryside of Sao Paulo – Brazil and they´ve kept the same structure since then. During this time the band has conquered its space on the scenery, becoming the most principal band of Thrash/HardCore/Death Metal from the Brazilian underground, besides its fans that have loyally came along with.
With attitude, the band had been playing at many concerts all over Brazil, besides sharing the stage with consecrated bands in the international scene, such as Soulfly, Destruction, Napalm Death, Krisiun, Hate Eternal, Ratos de Porão, Paul Di Anno and Sepultura – this one at the glorious Sepulfest.
The band has been one of the bands that have been divulgating the heavy music at important TV programs, what is an unusual fact among bands from the Brazilian underground. It's a young band, experienced though